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Finding the Fourth Proportional to 5,632.56, 8,448.85 and 1,528.56

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Solution

The fourth proportional to 5,632.56, 8,448.85 and 1,528.56 is: 2,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.56 : 8,448.85 = 1,528.56 : x
  2. Step 2: Convert to fraction form
    5,632.56/8,448.85 = 1,528.56/x
  3. Step 3: Cross multiply
    5,632.56x = 8,448.85 × 1,528.56
  4. Step 4: Simplify right side
    5,632.56x = 12,914,574.16
  5. Step 5: Solve for x
    x = 12,914,574.16/5,632.56
  6. Step 6: Final answer
    x = 2,292.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.